Report of the fit

Fit summary

Description: PV19 version x. Initial parameters fluctuated.
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: True
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2 N_1 \alpha \sigma \lambda N_{1B} \alpha_B \sigma_B g_{2B}
0.02351590841248 0.9422997060112 0.2036619541611 0.326688434032 0.6715638120608 0.04591270083373 0.06702302432024 0.4193674275496 0.01624238607691

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: N3LL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 205
\chi_{0}^2 = 1.0347
\chi_{mean}^2 = 1.0409
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.0639 \pm 0.0138
\langle E \rangle \pm \sigma_{E} = 2.0309 \pm 0.1714

Parameters

Parameter Central replica Average over replicas Fixed
g_2 0.032421552 0.0301446 \pm 0.01161824 False
N_1 0.88029848 0.99832267 \pm 0.48211028 False
\alpha 0.20236078 0.20642821 \pm 0.01269803 False
\sigma 0.31874799 0.32266179 \pm 0.05859306 False
\lambda 0.6758279 0.65687306 \pm 0.08546817 False
N_{1B} 0.041086011 0.04601744 \pm 0.0126369 False
\alpha_B 0.06963174 0.06999634 \pm 0.009572 False
\sigma_B 0.38573834 0.37701782 \pm 0.10237795 False
g_{2B} 0.014857144 0.01481557 \pm 0.00371672 False
Fitted parameter correlation matrix

Fit properties

Global \chi^2 distribution
Global error function distribution
g_2 distribution
N_1 distribution
\alpha distribution
\sigma distribution
\lambda distribution
N_{1B} distribution
\alpha_B distribution
\sigma_B distribution
g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.6409 0.0014 0.6423
E605_Q_8_9 8 1.5475 0.0004 1.5479
E605_Q_10.5_11.5 10 0.4648 0.1565 0.6213
E288_200_Q_4_5 4 0.6701 0.7756 1.4457
E288_200_Q_5_6 5 1.6172 0.2007 1.8179
E288_200_Q_6_7 6 0.367 0.1015 0.4684
E288_200_Q_7_8 7 0.538 0.002 0.54
E288_200_Q_8_9 8 0.5951 0.0477 0.6428
E288_300_Q_4_5 4 0.5335 0.4563 0.9899
E288_300_Q_5_6 5 0.838 0.1068 0.9448
E288_300_Q_6_7 6 0.507 0.0182 0.5252
E288_300_Q_7_8 7 0.1288 0.0069 0.1357
E288_300_Q_8_9 8 0.4834 0.0016 0.485
E288_400_Q_5_6 5 0.2955 0.0002 0.2958
E288_400_Q_6_7 6 0.086 0.0052 0.0912
E288_400_Q_7_8 7 0.0242 0.0291 0.0532
E288_400_Q_8_9 8 0.4447 0.0557 0.5004
E288_400_Q_11_12 11 0.5017 0.0636 0.5653
E288_400_Q_12_13 12 0.4894 0.0552 0.5446
E288_400_Q_13_14 12 0.6029 0.0978 0.7007
STAR_510 7 0.8882 0.0375 0.9257
CDF_RunI 25 0.5319 0.0577 0.5896
CDF_RunII 26 0.8466 0.0027 0.8493
D0_RunI 12 0.597 0.0439 0.6409
D0_RunII 5 0.9087 0.5825 1.4912
D0_RunIImu 3 2.9385 0.0256 2.9641
LHCb_7TeV 7 1.0896 0.1472 1.2368
LHCb_8TeV 7 0.6181 0.1 0.7181
LHCb_13TeV 7 0.8796 0.0262 0.9058
CMS_7TeV 4 2.117 0 2.117
CMS_8TeV 4 1.4011 0.0071 1.4082
ATLAS_7TeV_y_0_1 6 2.5001 0.0276 2.5277
ATLAS_7TeV_y_1_2 6 4.1178 1.0352 5.1529
ATLAS_7TeV_y_2_2.4 6 3.5149 0.3817 3.8966
ATLAS_8TeV_y_0_0.4 6 1.9202 0.3487 2.2689
ATLAS_8TeV_y_0.4_0.8 6 2.1954 0.2606 2.4559
ATLAS_8TeV_y_0.8_1.2 6 0.8627 0.0634 0.9261
ATLAS_8TeV_y_1.2_1.6 6 0.8989 0.104 1.0028
ATLAS_8TeV_y_1.6_2 6 0.5636 0.0738 0.6374
ATLAS_8TeV_y_2_2.4 6 0.6445 0.279 0.9235
ATLAS_8TeV_Q_46_66 4 2.2661 0.7195 2.9856
ATLAS_8TeV_Q_116_150 8 0.4965 0.0032 0.4997
Total 319 - - 1.0347
Mean-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.5534 0.027 0.5804
E605_Q_8_9 8 1.1713 0.0285 1.1998
E605_Q_10.5_11.5 10 0.2253 0.1561 0.3815
E288_200_Q_4_5 4 0.2585 0.4542 0.7127
E288_200_Q_5_6 5 0.9114 0.2126 1.124
E288_200_Q_6_7 6 0.2511 0.1147 0.3659
E288_200_Q_7_8 7 0.5005 0.0132 0.5136
E288_200_Q_8_9 8 0.7986 0.02 0.8186
E288_300_Q_4_5 4 0.2503 0.3456 0.5959
E288_300_Q_5_6 5 0.5547 0.152 0.7067
E288_300_Q_6_7 6 0.4545 0.0487 0.5032
E288_300_Q_7_8 7 0.1387 0.0215 0.1602
E288_300_Q_8_9 8 0.3972 0.0109 0.408
E288_400_Q_5_6 5 0.2878 0.0253 0.3131
E288_400_Q_6_7 6 0.1049 0.0022 0.1071
E288_400_Q_7_8 7 0.0375 0.01 0.0475
E288_400_Q_8_9 8 0.5503 0.0432 0.5935
E288_400_Q_11_12 11 0.6806 0.0687 0.7493
E288_400_Q_12_13 12 0.7923 0.0496 0.8419
E288_400_Q_13_14 12 1.1274 0.0596 1.187
STAR_510 7 0.7653 0.0612 0.8265
CDF_RunI 25 0.4703 0.0594 0.5296
CDF_RunII 26 0.8568 0.0007 0.8575
D0_RunI 12 0.65 0.0402 0.6902
D0_RunII 5 0.8905 0.5827 1.4732
D0_RunIImu 3 2.9186 0.0261 2.9447
LHCb_7TeV 7 1.0259 0.1649 1.1908
LHCb_8TeV 7 0.6459 0.0956 0.7415
LHCb_13TeV 7 0.8563 0.0249 0.8812
CMS_7TeV 4 2.1183 0 2.1183
CMS_8TeV 4 1.4613 0.0051 1.4664
ATLAS_7TeV_y_0_1 6 3.0761 0.0351 3.1112
ATLAS_7TeV_y_1_2 6 4.2003 1.082 5.2823
ATLAS_7TeV_y_2_2.4 6 3.5882 0.3841 3.9722
ATLAS_8TeV_y_0_0.4 6 1.9839 0.3606 2.3445
ATLAS_8TeV_y_0.4_0.8 6 2.0855 0.3273 2.4128
ATLAS_8TeV_y_0.8_1.2 6 1.0573 0.0911 1.1484
ATLAS_8TeV_y_1.2_1.6 6 0.8265 0.096 0.9224
ATLAS_8TeV_y_1.6_2 6 0.6823 0.0118 0.6941
ATLAS_8TeV_y_2_2.4 6 0.5843 0.24 0.8244
ATLAS_8TeV_Q_46_66 4 2.4774 0.6449 3.1223
ATLAS_8TeV_Q_116_150 8 0.4942 0.0026 0.4968
Total 319 - - 1.0409
Average-over-replicas \chi^2’s:
Experiment Number of points \chi^2
E605_Q_7_8 7 0.6647 \pm 0.1091
E605_Q_8_9 8 1.5287 \pm 0.2438
E605_Q_10.5_11.5 10 0.6551 \pm 0.1081
E288_200_Q_4_5 4 1.4992 \pm 0.3257
E288_200_Q_5_6 5 1.8567 \pm 0.2368
E288_200_Q_6_7 6 0.4959 \pm 0.1065
E288_200_Q_7_8 7 0.545 \pm 0.1616
E288_200_Q_8_9 8 0.6446 \pm 0.0806
E288_300_Q_4_5 4 1.0598 \pm 0.2679
E288_300_Q_5_6 5 0.9941 \pm 0.1504
E288_300_Q_6_7 6 0.5432 \pm 0.1404
E288_300_Q_7_8 7 0.1476 \pm 0.0558
E288_300_Q_8_9 8 0.5103 \pm 0.0875
E288_400_Q_5_6 5 0.3554 \pm 0.1136
E288_400_Q_6_7 6 0.1278 \pm 0.0475
E288_400_Q_7_8 7 0.0927 \pm 0.0641
E288_400_Q_8_9 8 0.5399 \pm 0.1025
E288_400_Q_11_12 11 0.6095 \pm 0.1693
E288_400_Q_12_13 12 0.578 \pm 0.0501
E288_400_Q_13_14 12 0.7111 \pm 0.0569
STAR_510 7 0.9443 \pm 0.0494
CDF_RunI 25 0.5951 \pm 0.0164
CDF_RunII 26 0.8826 \pm 0.0622
D0_RunI 12 0.6482 \pm 0.0338
D0_RunII 5 1.5241 \pm 0.2292
D0_RunIImu 3 2.9458 \pm 0.6374
LHCb_7TeV 7 1.2557 \pm 0.0406
LHCb_8TeV 7 0.7512 \pm 0.1629
LHCb_13TeV 7 0.9461 \pm 0.1153
CMS_7TeV 4 2.122 \pm 0.0108
CMS_8TeV 4 1.409 \pm 0.0571
ATLAS_7TeV_y_0_1 6 2.6016 \pm 0.2729
ATLAS_7TeV_y_1_2 6 5.2342 \pm 0.1161
ATLAS_7TeV_y_2_2.4 6 3.9349 \pm 0.1297
ATLAS_8TeV_y_0_0.4 6 2.2976 \pm 0.1492
ATLAS_8TeV_y_0.4_0.8 6 2.4993 \pm 0.1233
ATLAS_8TeV_y_0.8_1.2 6 0.991 \pm 0.1004
ATLAS_8TeV_y_1.2_1.6 6 1.0325 \pm 0.1569
ATLAS_8TeV_y_1.6_2 6 0.7649 \pm 0.2397
ATLAS_8TeV_y_2_2.4 6 0.9795 \pm 0.2376
ATLAS_8TeV_Q_46_66 4 2.9794 \pm 0.123
ATLAS_8TeV_Q_116_150 8 0.5051 \pm 0.0102
Total 319 1.0639 \pm 0.0138

TMDs in k_T space

TMD PDF of the d at Q = 2 GeV and x = 0.001
TMD PDF of the d at Q = 2 GeV and x = 0.01
TMD PDF of the d at Q = 2 GeV and x = 0.1
TMD PDF of the d at Q = 2 GeV and x = 0.5
TMD PDF of the d at Q = 2 GeV and x = 0.9

Data-theory comparison

E605_Q_7_8 data-theory comparison
E605_Q_8_9 data-theory comparison
E605_Q_10.5_11.5 data-theory comparison
E288_200_Q_4_5 data-theory comparison
E288_200_Q_5_6 data-theory comparison
E288_200_Q_6_7 data-theory comparison
E288_200_Q_7_8 data-theory comparison
E288_200_Q_8_9 data-theory comparison
E288_300_Q_4_5 data-theory comparison
E288_300_Q_5_6 data-theory comparison
E288_300_Q_6_7 data-theory comparison
E288_300_Q_7_8 data-theory comparison
E288_300_Q_8_9 data-theory comparison
E288_400_Q_5_6 data-theory comparison
E288_400_Q_6_7 data-theory comparison
E288_400_Q_7_8 data-theory comparison
E288_400_Q_8_9 data-theory comparison
E288_400_Q_11_12 data-theory comparison
E288_400_Q_12_13 data-theory comparison
E288_400_Q_13_14 data-theory comparison
STAR_510 data-theory comparison
CDF_RunI data-theory comparison
CDF_RunII data-theory comparison
D0_RunI data-theory comparison
D0_RunII data-theory comparison
D0_RunIImu data-theory comparison
LHCb_7TeV data-theory comparison
LHCb_8TeV data-theory comparison
LHCb_13TeV data-theory comparison
CMS_7TeV data-theory comparison
CMS_8TeV data-theory comparison
ATLAS_7TeV_y_0_1 data-theory comparison
ATLAS_7TeV_y_1_2 data-theory comparison
ATLAS_7TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_y_0_0.4 data-theory comparison
ATLAS_8TeV_y_0.4_0.8 data-theory comparison
ATLAS_8TeV_y_0.8_1.2 data-theory comparison
ATLAS_8TeV_y_1.2_1.6 data-theory comparison
ATLAS_8TeV_y_1.6_2 data-theory comparison
ATLAS_8TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_Q_46_66 data-theory comparison
ATLAS_8TeV_Q_116_150 data-theory comparison